With an advanced health and medical system, when it hits the fan you’re going to need help. Paramedics are players in the role of an emergency medical technician, travelling around Altis helping those in need (for a price).
On the Asylum, it’s possible to feel extreme pain, break a bone, overdose on drugs or be rendered unconscious. When this does happen you’ll need to call for a paramedic, unless you’re fortunate enough to have a civilian friend with appropriate talents and equipment nearby.
As paramedics progress in their talents, they gain access to improved medical abilities as well as faster vehicles. Experienced paramedics can even get medivac helicopters.